1. Graphing f(x) = ax^34
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Find the intervals in which the values of the functions increase as the x-values increase.
Table:
| Function | Increasing Interval |
|---|---|
| f(x) | x>0 |
| g(x) | x<0 |
To find the increasing interval, we will scan the graph from left to right.
The violet arrows shows increasing intervals of the functions. From left side of graph to x=0 & → && g is increasing From x=0 to right side of graph & → && fis increasing For all x-values less than x=0, g will be increasing. Additionally, for all x-values greater than x=0, f will be increasing.
| Function | Increasing Interval |
|---|---|
| f(x) | x>0 |
| g(x) | x<0 |